Question: This question has been giving me some trouble: The position of a particle as it moves horizontally is described by the given equation s t

This question has been giving me some trouble:

The position of a particle as it moves horizontally is described by the given equation s t = sin cost t 0 2 . If s is the displacement in metres and t is the time in seconds, find the maximum and minimum displacements.

Whilst getting the crit points, i reach t=3pi/4 +pi(n) however I cannot seem to go past that point. Can you please solve this and explain to me in detail past the point i reached?

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